benchmarks.wiki / Public workspace

Omni-MATH / Consider an infinite white plane divided into square cells. For which k it is possible to paint a positive finite number of cells black so that on each horizontal, vertical and dia…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Consider an infinite white plane divided into square cells. For which kk it is possible to paint a positive finite number of cells black so that on each horizontal, vertical and diagonal line of cells there is either exactly kk black cells or none at all? A. Dinev, K. Garov, N Belukhov
Plain-text mathematical notation (without MathML)
Consider an infinite white plane divided into square cells. For which k it is possible to paint a positive finite number of cells black so that on each horizontal, vertical and diagonal line of cells there is either exactly k black cells or none at all?

A. Dinev, K. Garov, N Belukhov
Original LaTeX notation
Consider an infinite white plane divided into square cells. For which $k$ it is possible to paint a positive finite number of cells black so that on each horizontal, vertical and diagonal line of cells there is either exactly $k$ black cells or none at all?

A. Dinev, K. Garov, N Belukhov

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import